1. The problem statement, all variables and given/known data Find the energy eigenvalue. 2. Relevant equations H = (p^2)/2m + 1/2m(w^2)(x^2) + λ(x^2) Hψ=Eψ 3. The attempt at a solution So this is what I got so far: ((-h/2m)(∂^2/∂x^2)+(m(w^2)/2 - λ)(x^2))ψ=Eψ I'm not sure if I should solve this using a differential equation method, or is there an easier trick? Thank you!